Pythagorean Theorem Review

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It is expressed as: a² + b² = c².

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle. They are usually referred to as 'a' and 'b' in the Pythagorean Theorem.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle. It is represented as 'c' in the Pythagorean Theorem.

Front

Is the statement 'a² + b³ = c⁴' true or false?

Back

False. The correct formula is a² + b² = c².

Front

Which of the following sets of measurements could be the side lengths of a right triangle? 10 cm, 12 cm, 16 cm, 20 cm, 21 cm, 29 cm, 30 cm, 32 cm, 42 cm, 40 cm, 42 cm, 56 cm?

Back

20 cm, 21 cm, and 29 cm can be the side lengths of a right triangle.

Front

If c = 97 and b = 72, what is the value of a?

Back

a = 65.

Front

Find the value of x if x² + 15² = 17².

Back

x = 8.

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

The sum of the squares of the lengths of the legs (a and b) equals the square of the length of the hypotenuse (c): a² + b² = c².

Front

If a = 6 and b = 8, what is the length of c?

Back

c = 10.

Front

What is the formula to find the length of one leg of a right triangle if the lengths of the other leg and the hypotenuse are known?

Back

If b is the length of one leg and c is the hypotenuse, the formula is: a = √(c² - b²).